Question

After a 25% initial discount on the marked price of an item, a shopkeeper offers a 20% additional discount on the discounted price. If the final sale price of the article is Rs. 600, then what is its marked price?
1. Rs. 680
2. Rs. 725
3. Rs. 1000
4. Rs. 1070
5. Rs. 1200

Answer 1

Correct Answer - Option 3 : Rs. 1000

Given:

1^st Discount = 25% of M.P

2^nd Discount = 20% of 1st Discount

S.P = Rs. 600

Concept Used:

D = M.P × Rate of Discount 

Successive Discount = [a + b - (ab/100)]%

M.P = Marked Price, D = Discount, S.P = Selling Price

Calculation:

Let the marked price be x.

According to the question,

x × (75/100) × (80/100) = 600

⇒ x = (600 × 100 × 100)/(75 × 80)

⇒ x = 1000

∴ The Marked Price is Rs. 1000.